10020424432200 has 384 divisors, whose sum is σ = 39012023904000. Its totient is φ = 2114198876160.

The previous prime is 10020424432127. The next prime is 10020424432211. The reversal of 10020424432200 is 223442402001.

10020424432200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 802704 + ... + 4548096.

It is an arithmetic number, because the mean of its divisors is an integer number (101593812250).

Almost surely, 2^{10020424432200} is an apocalyptic number.

10020424432200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020424432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19506011952000).

10020424432200 is an abundant number, since it is smaller than the sum of its proper divisors (28991599471800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10020424432200 is a wasteful number, since it uses less digits than its factorization.

10020424432200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745446 (or 3745423 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10020424432200 its reverse (223442402001), we get a palindrome (10243866834201).

The spelling of 10020424432200 in words is "ten trillion, twenty billion, four hundred twenty-four million, four hundred thirty-two thousand, two hundred".